Nuclear structure and band mixing in ${}^{194}\mathrm{Pt}$

We introduce a two-particle, two-hole mixed configuration scheme to fit $E2$ strengths for the $0\leftrightarrow 2, 2\leftrightarrow 4$, and $4\leftrightarrow 6$ transitions in ${}^{194}\mathrm{Pt}$. The interaction includes two sets of pairing operators, {$S^{\pm }\left(t\right),S^0\left(t\right)$} $(t=s,d)$. Solutions within this framework are used to analyze energy spectra, $E2$ transitions, and band-mixing features of the model. The results confirm that mixing is small and similar for $J=2$, 4, and 6, with the calculated energies and transition matrix elements in excellent agreement with experimental data.

Figure 1

Some low-lying energy levels for (a) experimental and (b) theoretical result in ${}^{194}\mathrm{Pt}$. Available experimental data were taken from Ref. [40].

Figure 2

Plot of excitation energy vs. $J(J+1)$ for first three bands in ${}^{194}\mathrm{Pt}$.

Figure 3

The potential-energy surface in ${}^{194}\mathrm{Pt}$. The expectation value in the coherent state used with the configuration mixing calculations. We observe that the parameter $\chi$ taken to be 0 is always better as far as the level energies are concerned. The other parameters used are $\zeta =-3.3\mathrm{keV}, \xi =2.8\mathrm{keV}$, and $\varphi =-3.5\mathrm{keV}$, for the $0_2^{+}$ level energy.

Figure 4

E2 transition rates for lowest $J \to J$-2 transitions in ${}^{194}\mathrm{Pt}$. Available experimental data with error bars were taken from Ref. [40].